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Finding the Fourth Proportional to 732.34, 1,009.67 and 583.43

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Solution

The fourth proportional to 732.34, 1,009.67 and 583.43 is: 804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.34 : 1,009.67 = 583.43 : x
  2. Step 2: Convert to fraction form
    732.34/1,009.67 = 583.43/x
  3. Step 3: Cross multiply
    732.34x = 1,009.67 × 583.43
  4. Step 4: Simplify right side
    732.34x = 589,066.64
  5. Step 5: Solve for x
    x = 589,066.64/732.34
  6. Step 6: Final answer
    x = 804.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.